The Hammers have moved clear of trouble at the wrong end of the table after picking up four wins in their last five games to lift themselves six points above the drop zone.
West Ham saw their good run of form ended by Everton last time out and Diame insists they are keen to get back to winning ways as soon as possible.
"Things are good amongst the squad," Diame told the club's official website.
"After the game against Everton, I think it was important to have some rest and a break to come back here and start again and try to find the win again.
"Now, we are back to league action and we are in a better position than a few months ago, but we want to keep picking up points.
"We just need to keep going and need to make sure we take as many points as possible by the end of the season."
Diame believes West Ham can go to Stoke this weekend and claim the three points like they did last season.
"Of course we can win there again, but Stoke did well in their last (home) game by winning against Arsenal, so we need to go there and try to give our best and come back with the win," concluded Diame.